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Finding the Fourth Proportional to 9,638.58, 14,447.48 and 6,305.56

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Solution

The fourth proportional to 9,638.58, 14,447.48 and 6,305.56 is: 9,451.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.58 : 14,447.48 = 6,305.56 : x
  2. Step 2: Convert to fraction form
    9,638.58/14,447.48 = 6,305.56/x
  3. Step 3: Cross multiply
    9,638.58x = 14,447.48 × 6,305.56
  4. Step 4: Simplify right side
    9,638.58x = 91,099,451.99
  5. Step 5: Solve for x
    x = 91,099,451.99/9,638.58
  6. Step 6: Final answer
    x = 9,451.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.